412209000 has 320 divisors, whose sum is σ = 1649007360. Its totient is φ = 94089600.

The previous prime is 412208983. The next prime is 412209019. The reversal of 412209000 is 902214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 566637 + ... + 567363.

It is an arithmetic number, because the mean of its divisors is an integer number (5153148).

Almost surely, 2^412209000 is an apocalyptic number.

412209000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824503680).

412209000 is an abundant number, since it is smaller than the sum of its proper divisors (1236798360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412209000 is a wasteful number, since it uses less digits than its factorization.

412209000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 412209000 is about 20302.9308229132. The cubic root of 412209000 is about 744.2276878573.

The spelling of 412209000 in words is "four hundred twelve million, two hundred nine thousand".